9040 has 20 divisors (see below), whose sum is σ = 21204. Its totient is φ = 3584.

The previous prime is 9029. The next prime is 9041. The reversal of 9040 is 409.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1296 + 7744 = 36^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (20).

9040 is an undulating number in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 9040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24 + ... + 136.

2⁹⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602).

9040 is an abundant number, since it is smaller than the sum of its proper divisors (12164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9040 is a wasteful number, since it uses less digits than its factorization.

9040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 9040 is about 95.0789145920. The cubic root of 9040 is about 20.8316087461.

Adding to 9040 its reverse (409), we get a palindrome (9449).

It can be divided in two parts, 90 and 40, that multiplied together give a square (3600 = 60²).

The spelling of 9040 in words is "nine thousand, forty".